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Finding the Fourth Proportional to 17,596.86, 24,284.34 and 9,639.78

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Solution

The fourth proportional to 17,596.86, 24,284.34 and 9,639.78 is: 13,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.86 : 24,284.34 = 9,639.78 : x
  2. Step 2: Convert to fraction form
    17,596.86/24,284.34 = 9,639.78/x
  3. Step 3: Cross multiply
    17,596.86x = 24,284.34 × 9,639.78
  4. Step 4: Simplify right side
    17,596.86x = 234,095,695.05
  5. Step 5: Solve for x
    x = 234,095,695.05/17,596.86
  6. Step 6: Final answer
    x = 13,303.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.